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Finding the Third Proportional to 47,574 and 103,349.25

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Solution

The third proportional to 47,574 and 103,349.25 is: 224,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574 : 103,349.25 = 103,349.25 : x
  2. Step 2: Convert to fraction form
    47,574/103,349.25 = 103,349.25/x
  3. Step 3: Cross multiply
    47,574x = 103,349.25 × 103,349.25
  4. Step 4: Simplify right side
    47,574x = 10,681,067,475.56
  5. Step 5: Solve for x
    x = 10,681,067,475.56/47,574
  6. Step 6: Final answer
    x = 224,514.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.